SOLUTION: The base of a triangle is 3 less than twice the height. The area of the triangle is 27cm squared. What is the length of the base and height?

Question 892025: The base of a triangle is 3 less than twice the height. The area of the triangle is 27cm squared. What is the length of the base and height?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Area = b*h
Area = 27cm^2, so b*h = 54
Factors of 54 are:
54,1
27,2
18,3
9,6
6,9
3,18
2,27
1,54
Which of those fits the equation B=2H-3?
If (27,2), then 27 = 2(2)-3. Nope, that doesn't fit.
(18,3) 18 = 2(3)-3. That doesn't work either.
(9,6) 9=2(6)-3. Success! The base is 9 and the height is 6
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